|Isidore Alexandre Auguste Pils : sa vie et ses oeuvres - Becq de Fouquieres, L. (Louis), 1831-1887|
Keywords: Pils, Isidore, 1813-1875
|Implementing Quantum Gates by Optimal Control with Doubly Exponential Convergence - Pierre de Fouquieres|
We introduce a novel algorithm for the task of coherently controlling a quantum mechanical system to implement any chosen unitary dynamics. It performs faster than existing state of the art methods by one to three orders of magnitude (depending on which one we compare to), particularly for quantum information processing purposes. This substantially enhances the ability to both study the control capabilities of physical systems within their coherence times, and constrain solutions for control tas...
|Quantum Control Landscapes: A Closer Look - Pierre de Fouquieres|
The control landscape for various canonical quantum control problems is considered. For the class of pure-state transfer problems, analysis of the fidelity as a functional over the unitary group reveals no suboptimal attractive critical points (traps). For the actual optimization problem over controls in $L^2(0,T)$, however, there are critical points for which the fidelity can assume any value in (0,1), critical points for which the second order analysis is inconclusive, and traps...
|Efficient Algorithms for Optimal Control of Quantum Dynamics: The "Krotov'' Method unencumbered - Sophie G Schirmer|
Efficient algorithms for the discovery of optimal control designs for coherent control of quantum processes are of fundamental importance. One important class of algorithms are sequential update algorithms generally attributed to Krotov. Although widely and often successfully used, the associated theory is often involved and leaves many crucial questions unanswered, from the monotonicity and convergence of the algorithm to discretization effects, leading to the introduction of ad-hoc penalty ter...
|Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework - S. Machnes|
For paving the way to novel applications in quantum simulation, computation, and technology, increasingly large quantum systems have to be steered with high precision. It is a typical task amenable to numerical optimal control to turn the time course of pulses, i.e. piecewise constant control amplitudes, iteratively into an optimised shape. Here, we present the first comparative study of optimal control algorithms for a wide range of finite-dimensional applications...
|Robust quantum gates for systems subject to decoherence via optimal control: Markovian vs non-Markovian dynamics - Frederik Floether|
We study the implementation of one-, two-, and three-qubit quantum gates for interacting qubits using optimal control. Different Markovian and non-Markovian environments are compared and efficient optimisation algorithms utilising analytic gradient expressions and quasi-Newton updates are given for both cases. The performance of the algorithms is analysed for a large set of problems in terms of the fidelities attained and the observed convergence behaviour...